Issolvi (5/3a^3b)^5:(5/6a^2)^5

$$( \frac { 5 } { 3 } a ^ { 3 } b ) ^ { 5 } : ( \frac { 5 } { 6 } a ^ { 2 } ) ^ { 5 }$$

Evalwa

$$32\left(ab\right)^{5}$$

Passi tas-Soluzzjonijiet

Espandi \left(\frac{5}{3}a^{3}b\right)^{5}.

$$\frac{\left(\frac{5}{3}\right)^{5}\left(a^{3}\right)^{5}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 3 u 5 biex tikseb 15.

$$\frac{\left(\frac{5}{3}\right)^{5}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Ikkalkula \frac{5}{3} bil-power ta' 5 u tikseb \frac{3125}{243}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Espandi \left(\frac{5}{6}a^{2}\right)^{5}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}\left(a^{2}\right)^{5}}$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u 5 biex tikseb 10.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}a^{10}}$$

Ikkalkula \frac{5}{6} bil-power ta' 5 u tikseb \frac{3125}{7776}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\frac{3125}{7776}a^{10}}$$

Annulla a^{10} fin-numeratur u d-denominatur.

$$\frac{\frac{3125}{243}a^{5}b^{5}}{\frac{3125}{7776}}$$

Iddividi \frac{3125}{243}a^{5}b^{5} b'\frac{3125}{7776} billi timmultiplika \frac{3125}{243}a^{5}b^{5} bir-reċiproku ta' \frac{3125}{7776}.

$$\frac{\frac{3125}{243}a^{5}b^{5}\times 7776}{3125}$$

Immultiplika \frac{3125}{243} u 7776 biex tikseb 100000.

$$\frac{100000a^{5}b^{5}}{3125}$$

Iddividi 100000a^{5}b^{5} b'3125 biex tikseb32a^{5}b^{5}.

$$32a^{5}b^{5}$$

Espandi

$$32\left(ab\right)^{5}$$

Passi tas-Soluzzjonijiet

Espandi \left(\frac{5}{3}a^{3}b\right)^{5}.

$$\frac{\left(\frac{5}{3}\right)^{5}\left(a^{3}\right)^{5}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 3 u 5 biex tikseb 15.

$$\frac{\left(\frac{5}{3}\right)^{5}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Ikkalkula \frac{5}{3} bil-power ta' 5 u tikseb \frac{3125}{243}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}a^{2}\right)^{5}}$$

Espandi \left(\frac{5}{6}a^{2}\right)^{5}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}\left(a^{2}\right)^{5}}$$

Biex tgħolli l-qawwa ta' numru għal qawwa oħra, immultiplika l-esponenti. Immultiplika 2 u 5 biex tikseb 10.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\left(\frac{5}{6}\right)^{5}a^{10}}$$

Ikkalkula \frac{5}{6} bil-power ta' 5 u tikseb \frac{3125}{7776}.

$$\frac{\frac{3125}{243}a^{15}b^{5}}{\frac{3125}{7776}a^{10}}$$

Annulla a^{10} fin-numeratur u d-denominatur.

$$\frac{\frac{3125}{243}a^{5}b^{5}}{\frac{3125}{7776}}$$

Iddividi \frac{3125}{243}a^{5}b^{5} b'\frac{3125}{7776} billi timmultiplika \frac{3125}{243}a^{5}b^{5} bir-reċiproku ta' \frac{3125}{7776}.

$$\frac{\frac{3125}{243}a^{5}b^{5}\times 7776}{3125}$$

Immultiplika \frac{3125}{243} u 7776 biex tikseb 100000.

$$\frac{100000a^{5}b^{5}}{3125}$$

Iddividi 100000a^{5}b^{5} b'3125 biex tikseb32a^{5}b^{5}.

$$32a^{5}b^{5}$$